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Nonlinear low frequency gravity waves in a water-filled cylindrical vessel subjected to high frequency excitations

Nonlinear low frequency gravity waves in a water-filled cylindrical vessel subjected to high frequency excitations
Nonlinear low frequency gravity waves in a water-filled cylindrical vessel subjected to high frequency excitations
In the experiments of a water storage cylindrical shell, excited by a horizontal external force of sufficient large amplitude and high frequency, it has been observed that gravity water waves of low frequencies may be generated. This paper intends to investigate this phenomenon in order to reveal its mechanism. Considering nonlinear fluid–structure interactions, we derive the governing equations and the numerical equations describing the dynamics of the system, using a variational principle. Following the developed generalized equations, a four-mode approximation model is proposed with which an experimental case example is studied. Numerical calculation and spectrum analysis demonstrate that an external excitation with sufficient large amplitude and high frequency can produce gravity water waves with lower frequencies. The excitation magnitude and frequencies required for onset of the gravity waves are found based on the model. Transitions between
different gravity waves are also revealed through the numerical analysis. The findings developed by this method are validated by available experimental observations.
nonlinear fluid-structure interactions, dragon washbasin, nonlinear-free surface wave, transition of gravity waves, nonlinear vibration
1364-5021
Zhou, C.
b01ced75-65f3-44b3-88ba-00fe9d5efb44
Wang, D.
8c543acd-825f-4f34-948a-dcd2e289f0aa
Shen, S.
eb6302c9-92a9-41e8-84bf-9995e2a5a402
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce
Zhou, C.
b01ced75-65f3-44b3-88ba-00fe9d5efb44
Wang, D.
8c543acd-825f-4f34-948a-dcd2e289f0aa
Shen, S.
eb6302c9-92a9-41e8-84bf-9995e2a5a402
Xing, J.T.
d4fe7ae0-2668-422a-8d89-9e66527835ce

Zhou, C., Wang, D., Shen, S. and Xing, J.T. (2013) Nonlinear low frequency gravity waves in a water-filled cylindrical vessel subjected to high frequency excitations. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 469 (2153). (doi:10.1098/rspa.2012.0536).

Record type: Article

Abstract

In the experiments of a water storage cylindrical shell, excited by a horizontal external force of sufficient large amplitude and high frequency, it has been observed that gravity water waves of low frequencies may be generated. This paper intends to investigate this phenomenon in order to reveal its mechanism. Considering nonlinear fluid–structure interactions, we derive the governing equations and the numerical equations describing the dynamics of the system, using a variational principle. Following the developed generalized equations, a four-mode approximation model is proposed with which an experimental case example is studied. Numerical calculation and spectrum analysis demonstrate that an external excitation with sufficient large amplitude and high frequency can produce gravity water waves with lower frequencies. The excitation magnitude and frequencies required for onset of the gravity waves are found based on the model. Transitions between
different gravity waves are also revealed through the numerical analysis. The findings developed by this method are validated by available experimental observations.

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Published date: 6 March 2013
Keywords: nonlinear fluid-structure interactions, dragon washbasin, nonlinear-free surface wave, transition of gravity waves, nonlinear vibration
Organisations: Fluid Structure Interactions Group

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Local EPrints ID: 349651
URI: http://eprints.soton.ac.uk/id/eprint/349651
ISSN: 1364-5021
PURE UUID: 0afebd89-8630-48eb-9303-b00f04c13582

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Date deposited: 11 Mar 2013 10:22
Last modified: 08 Jan 2022 12:03

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Contributors

Author: C. Zhou
Author: D. Wang
Author: S. Shen
Author: J.T. Xing

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